二維計算幾何模板 圓

#include

#include
#include
#include
#include
#include
#include
#include
#include
#include
#include
#include
#define eps 1e-6    //log(x)
#define e exp(1.0); 
#define mod 1000000007
#define inf 0x7fffffff
#define inf 0x3f3f3f3f
typedef
long
long ll;
using
namespace
std;
//基本函式
const
double eps=1e-8;
int cmp(double x) 
const
double pi=acos(-1.0);
inline
double sqr(double x) 
struct point ;
point(double a,double b):x(a),y(b) {};
void input() 
friend point operator + (const point &a,const point &b) 
friend point operator - (const point &a,const point &b) 
friend
bool
operator == (const point &a,const point &b) 
friend point operator * (const point &a,const
double &b) 
friend point operator * (const
double &a,const point &b) 
friend point operator / (const point &a,const
double &b) 
double norm() 
};double det(const point &a,const point &b) 
double dot(const point &a,const point &b) 
double dis(const point &a,const point &b) 
point rotate_point(const point &p,double a) 
int dcmp(double k) 
double cross(const point &a,const point &b) 
double
abs(const point &o) 
double mysqrt(double n)
/**************************************/
struct circle ;
circle(point p,double r):p(p),r(r){};
bool
operator
< (const circle &o) const 
return dcmp(p.y-o.p.y)==-1;
}bool
operator == (const circle &o) const 
};//判斷點是否在圓內  //誤差範圍內
bool point_in_circle(point a,circle p)
/****************************************/
//圓與多邊形的交面積
int pon;            //多邊形的點數
point res[1000];  //逆/順時針多邊形的點
double r;         //圓心在原點的圓的半徑
/***************************************/
//圓與線段/直線的交點
//交點ret,個數num
void circle_cross_line(point a,point b,circle c,point ret,int &num)
if(dcmp(t2-1)<=0&&dcmp(t2)>=0)
}else
if(dcmp(delta)==0)
}}point crosspt(const point &a,const point &b,const point &p,const point &q)
double sector_area(const point &a,const point &b)
double calc(const point &a,const point &b)
}else
else
else
return sector_area(a,b);}}
}//圓與多邊形的交面積
double circle_polygon_area()
}return
fabs(ret);
}/****************************************/
//兩個圓的交面積/幾個圓的並面積
/****************************************/
//兩個圓的交面積
double circle_area(circle x,circle y)
//圓的面積並。
circle tc[10]; //待求圓
int cm;         //待求圓的個數
//向量p旋轉x角度後的向量，cost,sint為角度x的三角函式值
point rotate(const point &p,double cost,double sint) 
//圓a,b的兩個交點
paircrosspoint(point ap,double ar,point bp,double br) 
inline paircrosspoint(const circle &a,const circle &b) 
struct node ;
bool
operator
<(const node &o)const 
double solve() 
}if(ok) c[n++]=tc[i];
}double ans=0;
for(int i=0; ivector
event;
point boundary=c[i].p+point(-c[i].r,0);
event.push_back(node(boundary,-pi,0));
event.push_back(node(boundary,pi,0));
for(int j=0; jif(i==j) continue;
double d=(c[i].p-c[j].p).norm();
if(dcmp(d-(c[i].r+c[j].r))<0)  else }}
sort(event.begin(),event.end());
int sum=event[0].d;
for(int j=1; j<(int)event.size(); ++j) 
sum+=event[j].d;}}
return ans;
}/****************************************/
//圓的覆蓋
point p[533];  //初始點
int pn;        //初始點的個數
/****************************************/
//半徑為r的圓最大能覆蓋的點的個數 o(n^3)
point center1,center2;//根據兩個點確定的圓心
//根據兩個點,及半徑確定圓心（有兩個圓心）
void get_center_point(point a,point b,double r)
else
}int max_point_cover() 
ans=max(ans,max(ans1,ans2));}}
return ans;
}//給出n個點，求最小覆蓋圓
void circle_center(point p0,point p1,point p2,point &cp)
void circle_center(point p0,point p1,point &cp)
circle min_circle_cover()}}
}}
}return temp;
}int main()

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